Invariant measures for stochastic evolution equations with Hilbert space valued Lévy noise

@inproceedings{Gaans2005InvariantMF,
  title={Invariant measures for stochastic evolution equations with Hilbert space valued L{\'e}vy noise},
  author={Onno van Gaans},
  year={2005}
}
Existence of invariant measures for semi-linear stochastic evolution equations in separable real Hilbert spaces is considered, where the noise is generated by Hilbert space valued Lévy processes. It is shown that if the Lévy process has locally bounded second moments, if the semigroup generated by the linear part is hyperbolic, and if the Lipschitz constants of the nonlinearities are sufficiently small, then existence of a mean square bounded solution implies existence of an invariant measure… CONTINUE READING